In this hive I did not two of the frames close enough together and I now have a huge piece of burr comb
This is the biggest problem most beginners have. It is so important to make sure all 10 frames are installed and tightly together. So many time people split the frames to hang the queen cage and that is just askig for trouble.
So I was wondering if I can hang this in a frame so it won't be so much wasted effort?
Put it in an empty frame and put a couple of rubber bands around the frame to hold it in place. The bees will attach it to the frame and then chew the rubber bands off. You'll find them in the bottom of the hive.
There is some damage to it from when I transported it. Some of the tops of the cell walls are marred and I didn't know if they would fix this?
They'll take care of it
When I removed the queen cage and fumbled around with the cork (I am already becoming disenchanted with gloves) she was so agitated that she came out of the cage and then FELL into the box.
Don't waste your time with the cork. Use your hive tool to pop the staple and remove the screen. It's a heck of a lot easier. Especially if your wearing gloves.
I saw her crawl away under the frames. I could not find her readily yesterday.
Is she marked? If not, consider marking your queens. It is a good way to keep track of whether your hive swarmed/superceded, not to mention easier to spot her.
This hive also had a good start on the foundation and even a few capped cells.
Good, that means the queen is OK
This hive has a piece of burr comb on the foundation that is kinda finger shaped?
Remove it, it will only screw things up more if you leave it. They won't draw the adjacent frame correct.
The one thing that bothered me about this hive is that I found about 5 bees dead right in front of the hive (not on the bottom board) and few in the grass. I don't know if this is a concern or if they aren't as clean as the other hive?
Don't worry about it. Five bees is nothing. Normal attrition.
So I was going to wait another week to find the queen and see if there is evidence of brood before I decide to buy a new queen?
If there is brood, she is there.
I am glad that the beekeeper that is helping me some convinced me to get two hives for exactly this reason. I still think that my first foray into this area is a lot of fun and increadibly interesting.
Yes, starting with more than 1 hive is always recommended. You have something to compare to or rob from one to help the other out. Good decision.